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Identifying an unknown source term of a parabolic equation in Banach spaces
Tác giả: Nguyen Van Duc, Nguyen Van Thang, Luong Duy Nhat Minh, Nguyen Trung Thanh
290    69
Applicable Analysis
Quyển: 101(6)     Trang: 2066-2084
Đường link/DOI: https://www.tandfonline.com/doi/abs/10.1080/00036811.2020.1800650
Minh chứng: 1534-2022-duc-thang-minh-thanh-aa.pdf
Năm xuất bản: 4/2022
Tóm tắt
A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.
Từ khóa
Inverse source problems in Banach spaces; regularization; error estimates
Cùng tác giả
A non-local boundary value problem method for semi-linear parabolic equations backward in time.Đánh giá ổn định cho các phương trình kiểu Burgers ngược thời gianA mollification method for semi-linear heat equations backward in time in the Banach space Lp(R)Giáo trình Giải tích (Tập 1)Stability Results for Semi-linear Parabolic Equations Backward in TimeAn a posteriori mollifcation method for the heat equation backward in timeBackward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz sourceGiáo trình Giải tích 2Một phương pháp chỉnh hóa cho phương trình parabolic với hệ số phụ thuộc thời gianCác kết quả ổn định cho phương trình parabolic bậc phân ngược thời gianA Mollification Method for Backward Time-Fractional Heat EquationIdentifying an unknown source term in a time-space fractional parabolic equationRegularization of backward time-fractional parabolic equations by Sobolev-type equationsStability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz sourceIdentifying an unknown source term in a heat equation with time-dependent coefficientsStability results for backward heat equations with time-dependent coefficient in the Banach space Lp(R )Hình học FractalGiáo trình Độ đo và tích phânThe quasi-reversibility method for an inverse source problem for time-space fractional parabolic equationsA coefficient identification problem for a system of advection-reaction equations in water quality modelingA regularization method for Caputo fractional derivatives in the Banach space L∞[0, T]Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations